A hole in a plate, optimal for its biaxial extension - compression
type: Item
instance of: scholarly article
title: A hole in a plate, optimal for its biaxial extension - compression
zbMATH Open document ID: 0621.73022
DOI: 10.1016/0021-8928(86)90141-3
author: S. B. Vigdergauz
author: Andrej V. Cherkaev
published in: Journal of Applied Mathematics and Mechanics
publication date: 1986-01-01T00:00:00Z
review text: An outline of a hole of equal strength in an elastic plate loaded at infinity by mutually perpendicular tensile and compressive forces, is obtained. It is shown that under these conditions the hole is bounded by a contour with corners, and its form is found by numerical methods. It turns out that the contour is very close to rectangular, with slightly rounded sides, whose ratio depends on the load.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74P99
Mathematics Subject Classification ID: 31A25
Mathematics Subject Classification ID: 30E10
zbMATH DE Number: 4007802
zbMATH Keywords: optimal shape design
zbMATH Keywords: outline of a hole
zbMATH Keywords: equal strength
zbMATH Keywords: elastic plate
zbMATH Keywords: loaded at infinity
zbMATH Keywords: mutually perpendicular tensile and compressive forces
zbMATH Keywords: contour with corners
zbMATH Keywords: rectangular
MaRDI profile type: Publication
full work available at URL: 0021-8928(86)90141-3
OpenAlex ID: W2023658494
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description: scientific article; zbMATH DE number 4007802